Results 71 to 80 of about 5,151 (220)
Advances in Difference Equations, 2020 In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt +5 more
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Journal of Inequalities and Applications, 2021 In this paper, we introduce ( h 1 , h 2 ) $(h_{1},h_{2})$ -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals.
Nidhi Sharma +3 more
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The converse of the Hermite–Hadamard inequality on simplices
Expositiones Mathematicae, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitroi-Symeonidis, Flavia-Corina +1 more
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Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this paper, we present a new version of Simpson‐type inequalities for differentiable functions defined on a subinterval of the positive real axis. The approach involves a nonnegative integrable weight function and provides an identity that refines the classical Simpson inequality by incorporating the first derivative of the function. A key aspect of
Hasan Öğünmez +2 more
wiley +1 more source
Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]
, 2000 Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
core
Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals
Journal of Mathematical Analysis and Applications, 2017 In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej r type inequalities for fractional integrals which generalize the two familiar fractional integrals namely, the Riemann-Liouville and the Hadamard fractional integrals into a single form.
Chen, Hua, Katugampola, Udita N.
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
wiley +1 more source
Journal of Inequalities and Applications, 2021 In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You +4 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.Fractional calculus is unique due to the fact it is as old as regular (integer) calculus, but it has also expanded its applications in a variety of fields and on a diversity of topics over the course of the last century. This leads to a continuous increase in the number of researchers and papers, ranging from integral inequality to biological models ...
Maria Tariq +5 more
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On the Refined Hermite-Hadamard Inequalities
Mathematical Sciences and Applications E-Notes, 2018 In this paper, we give some new refinements of Hermite-Hadamard inequality for co-ordinated convex function. These refinements provide us better estimation as compare to the earlier established refinements of Hadamard’s inequality.
ALİ, Tahir +3 more
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